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13929672 = 2334753233
BaseRepresentation
bin110101001000…
…110011001000
3222012200220210
4311020303020
512031222142
61214321120
7226254201
oct65106310
928180823
1013929672
117954629
1247b91a0
132b69413
141bc85a8
15135249c
hexd48cc8

13929672 has 64 divisors (see below), whose sum is σ = 36391680. Its totient is φ = 4439552.

The previous prime is 13929667. The next prime is 13929677. The reversal of 13929672 is 27692931.

It is an interprime number because it is at equal distance from previous prime (13929667) and next prime (13929677).

It is a self number, because there is not a number n which added to its sum of digits gives 13929672.

It is not an unprimeable number, because it can be changed into a prime (13929677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59668 + ... + 59900.

It is an arithmetic number, because the mean of its divisors is an integer number (568620).

Almost surely, 213929672 is an apocalyptic number.

13929672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13929672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18195840).

13929672 is an abundant number, since it is smaller than the sum of its proper divisors (22462008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13929672 is a wasteful number, since it uses less digits than its factorization.

13929672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 13929672 is about 3732.2475802122. The cubic root of 13929672 is about 240.6099761689.

The spelling of 13929672 in words is "thirteen million, nine hundred twenty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 212 233 282 318 376 424 466 564 636 699 932 1128 1272 1398 1864 2491 2796 4982 5592 7473 9964 10951 12349 14946 19928 21902 24698 29892 32853 37047 43804 49396 59784 65706 74094 87608 98792 131412 148188 262824 296376 580403 1160806 1741209 2321612 3482418 4643224 6964836 13929672